DIFFERENTIAL AND INTEGRAL CALCULUS WITH MATHEMATICA

This book delves into topics related to differential and integral calculus and their application using the scientific software MATHEMATICA. It covers subjects such as differentiability in one and several variables, maxima and minima in one and several variables, optimization, vector differential calculus, differential equations, and partial differential equations. Regarding integral calculus, it develops the methods of integration in one variable and their applications to calculating the lengths of curves and the areas and volumes of revolution. This book also develops the methods of integration in several variables and their applications to calculating the areas of plane figures, surfaces, and volumes. The chapters begin with methodological notes and are enriched with a wide variety of examples and exercises solved using the MATHEMATICA software.